Answer:
9
Step-by-step explanation:
This is the answer because:
1) The mode is the element that occurs most in the data set. In this case, 9 occurs 4 times.
Therefore, the answer is 9.
Hope this helps! :D
(u^2 - 4) / (u-6)(u-2)
Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)
Simplification
u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:
(u+2)(u-2) / (u-2)(u-6)
Simplify u -2 (because it appears in the numerator and the denominator)
(u + 2) / (u -6), with u ≠2 and u≠6
Answer:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.
Step-by-step explanation:
For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

And we have the following probabilities and possible values given:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.
Due to the circular shape, one complete rotation of the flag is equal to the circumference of a circle with radius 12 ft.
Then, use the following formula for the cirumference:
C = 2π·r
where r is the radius. In this case, r = 12 ft and π = 3.14. Replace the previous values into the formula for C:
C = 2(3.14)(12 ft)
C = 75.36 ft
Hence, the flag has to travel 75.36 ft to complete a full rotation
Answer:
6
Step-by-step explanation:
multiply all numbers by 18
1,6,36,216,1296,7776
6×1=36
6×6=36
6×36=216
6×216=1296
6×1296=7776
6×n=...............